Writing Linear Inequalities

You have at most 8 hours to spend at the mall and at the beach. Write an inequality that represents this situation.

• $x+y\ge8$

• $x+y<8$

• $x+y≤8$

• $x+y>8$

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Baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Ticket prices for the upper deck cost $31.50. Write an inequality that represents all possible combinations of x, the number of tickets for the lower deck, and y, the number of tickets for the upper deck, that someone can buy for no more than $800?

• $42x+31.5y\ge80$

• $42x+31.5y\le80$

• $42x+31.5y<80$

• $42x+31.5y>80$

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A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill. Write an inequality that represents this situation.

•  $6s+2b>120$ 

•  $6s+2b<120$ 

•  $2s+6b≤120$ 

•  $2s+6b≥120$ 

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The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school would like to sell 3 senior citizen tickets and 2 child tickets for a total at least $42. Write an inequality that represents this situation.

•  $3s\ +\ 2c\ >42$  

•  $3s\ +\ 2c\ <42$  

•  $3s\ +\ 2c\ \le42$  

•  $3s\ +\ 2c\ \ge42$  

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You receive an $80 gift card to the bookstore. Hardback books cost $8 and paperback books cost $4. Write an inequality that represents this situation.

• $8h+4p\le80$

• $8h+4p<80$

• $8h+4p\ge80$

• $8h+4p>80$

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A catering company has small tables and large tables. Small tables seat 4 people and large tables seat 6. They are planning a party for at least 100 guests. Write an inequality that represents this situation.

• $4s\ +\ 6l<100$

• $4s\ +\ 6l\le100$

• $4s\ +\ 6l>100$

• $4s\ +\ 6l\ge100$

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You and your friend have $14 among you to spend on snacks at the basketball game. If drinks are $2 and popcorn is $1. Write an inequality that represents this situation.

• $2d+1p<14$

• $2d+1p>14$

• $2d+1p\ge14$

• $2d+1p\le14$

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Sam wants to purchase birthday gifts for his two sisters that share the same birthday. One sister likes daisies which cost $2 per stem and the other likes tulips which cost $3 per stem. If he has $12 to spend, write an inequality that represents this situation.

• $2d+3t\ge12$

• $2d+3t\le12$

• $2d+3t>12$

• $2d+3t<12$

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The fair is in town and you have earned $50 from math tutoring and want to go. If each ride is $2.50 and each game is $2. Write an inequality that represents this situation.

• $2.5r+2g<50$

• $2.5r+2g\ge50$

• $2.5r+2g\le50$

• $2.5r+2g>50$

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You need to earn at least $85 to cover your gas and food expenses. Your babysitting job pays $7.50 per hour and your math tutoring job pays $6 per hour. Write an inequality that represents this situation.

•  $7.5b+6m>85$  

•  $7.5b+6m<85$  

•  $7.5b+6m\ge85$  

•  $7.5b+6m\le85$  

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